Thanks for posting a question! It’s great to stop and think through these basics.
There are more than one conditions that are needed to have current, so voltage alone is not the conditions.
Atoms don’t self-destruct in the presence of voltage, so the electrons don’t need to move. They just will if the other conditions are present.
There are more than one requirements to have current, so voltage alone doesn’t not create *the* requirements for current.
So the accurate answer is “potential“. If the other conditions are met along with voltage, current will flow.
Does that make sense?